Remark 2.2 As in [[1]}], we also have the right adjoint of the identity \(\pi ^{*}F\otimes \mathcal {E}\xrightarrow{}\pi ^{*}F\otimes \mathcal {E}\)  defined by
\(\varphi _{\mathcal {E}}(F): F\rightarrow \pi _{*}\mathcal {H}om(\mathcal {E},\pi ^*F\otimes \mathcal {E})=F_{\mathcal {E}}(G_{\mathcal {E}}(F))\)  for any quasi-coherent sheaf \(F\)  on \(X\) .

